100000010101013 has 16 divisors (see below), whose sum is σ = 113836398973056. Its totient is φ = 86954700719040.

The previous prime is 100000010100983. The next prime is 100000010101021. The reversal of 100000010101013 is 310101010000001.

It is not a de Polignac number, because 100000010101013 - 2²⁸ = 99999741665557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000010101073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7957895 + ... + 16227387.

It is an arithmetic number, because the mean of its divisors is an integer number (7114774935816).

Almost surely, 2^{100000010101013} is an apocalyptic number.

It is an amenable number.

100000010101013 is a deficient number, since it is larger than the sum of its proper divisors (13836388872043).

100000010101013 is a wasteful number, since it uses less digits than its factorization.

100000010101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317324.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100000010101013 its reverse (310101010000001), we get a palindrome (410101020101014).

The spelling of 100000010101013 in words is "one hundred trillion, ten million, one hundred one thousand, thirteen".